This paper is devoted to study the mixed problem for a nonhomogeneous pseudoparabolic equation. The Hilfer fractional equation is studied with initial value conditions recording first variable t and Samarskii-Ionkin type boundary value conditions recording second variable x. Spectral problem is studied and eigenvalues, eigenfunctions are found. The solution is constructed on the form of Fourier series. Existence and uniqueness of solution's theorems are proved.
| Mualliflar | M.U. Sagdullaeva, Gafurjan A. Khasanov, T.K. Yuldashev |
|---|---|
| Jurnal | Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi |
| Nashriyot | Самарқанд давлат университети |
| ISSN | 2091-5446, 2181-1296 |
| Nashr sanasi | 2025-06-01 |
| Jild | 1 |
| Son | 3 |
| Betlar | 5-14 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.59251/2181-3973.2025.v1.138.1.3562 |
| Indeksga qo‘shilgan | 2026-09-02 |
DOI: 10.59251/2181-3973.2025.v1.138.1.3562 · Maqolaning asl sahifasi
| APA | M.U. Sagdullaeva, Gafurjan A. Khasanov, & T.K. Yuldashev (2025). Samarskii-Ionkin two-point boundary conditions for a fractional pseudoparabolic equation. Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(3), 5-14. https://doi.org/10.59251/2181-3973.2025.v1.138.1.3562 |
|---|---|
| GOST (OAK) | M.U. Sagdullaeva, Gafurjan A. Khasanov, T.K. Yuldashev Samarskii-Ionkin two-point boundary conditions for a fractional pseudoparabolic equation // Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi. – 2025. – T. 1, № 3. – P. 5-14. – DOI: 10.59251/2181-3973.2025.v1.138.1.3562. |
| MLA | M.U. Sagdullaeva, Gafurjan A. Khasanov, and T.K. Yuldashev. “Samarskii-Ionkin two-point boundary conditions for a fractional pseudoparabolic equation.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(3), 5-14, 2025. https://doi.org/10.59251/2181-3973.2025.v1.138.1.3562 |
| Chicago | M.U. Sagdullaeva, Gafurjan A. Khasanov, and T.K. Yuldashev. “Samarskii-Ionkin two-point boundary conditions for a fractional pseudoparabolic equation.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(3), 5-14 (2025). https://doi.org/10.59251/2181-3973.2025.v1.138.1.3562 |
| Harvard | M.U. Sagdullaeva, Gafurjan A. Khasanov, and T.K. Yuldashev (2025) ‘Samarskii-Ionkin two-point boundary conditions for a fractional pseudoparabolic equation’, Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(3), 5-14. https://doi.org/10.59251/2181-3973.2025.v1.138.1.3562 |
| BibTeX | @article{musagdullaeva2025,
title = {Samarskii-Ionkin two-point boundary conditions for a fractional pseudoparabolic equation},
author = {M.U. Sagdullaeva and Gafurjan A. Khasanov and T.K. Yuldashev},
journal = {Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi},
year = {2025},
volume = {1},
number = {3},
pages = {5-14},
doi = {10.59251/2181-3973.2025.v1.138.1.3562},
url = {https://doi.org/10.59251/2181-3973.2025.v1.138.1.3562}
} |
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